Base | Representation |
---|---|
bin | 1101111110000011… |
… | …0000001100000000 |
3 | 100200100002220211000 |
4 | 3133200300030000 |
5 | 30134433431102 |
6 | 1420033252000 |
7 | 161632445040 |
oct | 33740601400 |
9 | 10610086730 |
10 | 3749905152 |
11 | 16547a6274 |
12 | 887a04000 |
13 | 479b77ab6 |
14 | 278051720 |
15 | 16e32301c |
hex | df830300 |
3749905152 has 576 divisors, whose sum is σ = 13845565440. Its totient is φ = 976748544.
The previous prime is 3749905147. The next prime is 3749905153. The reversal of 3749905152 is 2515099473.
It is a happy number.
3749905152 is a `hidden beast` number, since 3 + 7 + 49 + 90 + 515 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×37499051522 = 28123577297992286208, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 3749905098 and 3749905107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3749905153) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38658768 + ... + 38658864.
It is an arithmetic number, because the mean of its divisors is an integer number (24037440).
Almost surely, 23749905152 is an apocalyptic number.
3749905152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3749905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922782720).
3749905152 is an abundant number, since it is smaller than the sum of its proper divisors (10095660288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3749905152 is a wasteful number, since it uses less digits than its factorization.
3749905152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 193 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 340200, while the sum is 45.
The square root of 3749905152 is about 61236.4691340054. The cubic root of 3749905152 is about 1553.6031544314.
The spelling of 3749905152 in words is "three billion, seven hundred forty-nine million, nine hundred five thousand, one hundred fifty-two".
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